On the topology of a boolean representable simplicial complex

Please use this identifier to cite or link to this item: https://hdl.handle.net/10216/110897

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DC Field	Value	Language
dc.creator	Pedro V. Silva
dc.creator	Stuart Margolis
dc.creator	John Rhodes
dc.date.accessioned	2019-10-01T23:11:24Z	-
dc.date.available	2019-10-01T23:11:24Z	-
dc.date.issued	2017
dc.identifier.issn	0218-1967
dc.identifier.other	sigarra:255045
dc.identifier.uri	https://hdl.handle.net/10216/110897	-
dc.description.abstract	It is proved that the fundamental groups of boolean representable simplicial complexes (BRSC) are free and the rank is determined by the number and nature of the connected components of their graph of flats for dimension >= 2. In the case of dimension 2, it is shown that BRSC have the homotopy type of a wedge of spheres of dimensions 1 and 2. Also, in the case of dimension 2, necessary and sufficient conditions for shellability and being sequentially Cohen-Macaulay are determined. Complexity bounds are provided for all the algorithms involved.
dc.language.iso	eng
dc.rights	openAccess
dc.title	On the topology of a boolean representable simplicial complex
dc.type	Artigo em Revista Científica Internacional
dc.contributor.uporto	Faculdade de Ciências
dc.identifier.doi	10.1142/s0218196717500072
dc.identifier.authenticus	P-00M-KAM
Appears in Collections:	FCUP - Artigo em Revista Científica Internacional

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